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Course Criteria
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3.00 Credits
Presents the historical development of mathematical concepts in algebra, trigonometry, geometry, discrete mathematics, calculus, probability and statistics. Presents factors that influenced the growth of mathematical knowledge across cultures and times. Registration Restrictions: Completion of Written Communication Skills and Oral Communication Skills GER requirements and junior or senior standing.
Prerequisite:
MATH A252 UA C (AND MATH A261 UA C OR MATH A265 UA C )
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3.00 Credits
Presents analysis and solution of partial differential equations. Students will classify and solve initial and boundary value problems for elliptic, hyperbolic and parabolic types. Faculty will select additional topics.
Prerequisite:
MATH A302 UA C
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3.00 Credits
A practical review of mathematics for engineers. Includes partial differential equations, vector and matrix analysis, Fourier analysis, and complex analysis. Special Note: Course does not satisfy mathematics major requirements.
Prerequisite:
MATH A302 UA D
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3.00 Credits
Emphasizes mathematics used in engineering. Includes applications of matrices, vector spaces, inner products, and linear transformations; numerical interpolation, approximation, differentiation, and quadrature; finite difference methods for ordinary and partial differential equations; and numerical stability. Registration Restrictions: Completion of a programming course with a minimum grade of C
Prerequisite:
MATH A302 UA C AND PHYS A211 UA C
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3.00 Credits
Emphasizes mathematics used in engineering. Includes Fourier series and transforms, Bessel functions, Legendre polynomials, linear partial differential equations, and complex variables. Develops the wave, heat and potential equations via first principles. Introduces the method of characteristics as applied to shock phenomena. Registration Restrictions: Completion of a programming course with a minimum grade of C
Prerequisite:
MATH A302 UA C AND PHYS A211 UA C
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3.00 Credits
Introduces numerical solutions of linear systems and eigenvalue problems, nonlinear equations and systems, numerical differentiation and integration, and numerical solutions of ordinary and partial differential equations. Introduces approximation theory, homotopy, and error and stability analysis. Provides theoretical framework for convergence analysis. Registration Restrictions: Completion of a programming course with a minimum grade of C.
Prerequisite:
MATH A252 UA C
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3.00 Credits
Covers axiomatic definition of a topological space, mappings between topological spaces, continuity, homeomorphism, connectivity, completeness and compactness. Also covers examples and applications from analysis and geometry. May include homotopy (the fundamental group with low-dimensional applications) and/or knot theory.
Prerequisite:
MATH A324 UA C
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3.00 Credits
Develops the theory of curves and surfaces in Euclidean spaces. Presents major constructions and theorems including the Frenet-Serret apparatus, geodesics, Gauss's Theorema Egregium and the Gauss-Bonnet theorem. Introduces abstract manifolds.
Prerequisite:
MATH A265 UA C AND MATH A314 UA C
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1.00 - 3.00 Credits
Presents advanced topics in mathematics selected as continuations of, or complements to, the content of upper-division undergraduate mathematics courses. Emphasizes theoretical developments. Special Note: Depending on topic selected, use of symbolic computation software may be required. May be repeated once for credit with a change in subtitle. Registration Restrictions: Instructor permission required.
Prerequisite:
MATH A265 UA C
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1.00 - 3.00 Credits
Provides upper-division mathematics majors the experience of teaching mathematics. The student is responsible for 3 hours per week per credit in the mathematics laboratory or classroom. Special Note: May be repeated up to a maximum of 3 credits. Registration Restrictions: Faculty permission required.
Prerequisite:
MATH A253 UA C
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